Find the equation of the horizontal line passing through the point (-5, 3).

Solution:

The slope of a horizontal line is 0.

If the horizontal line passes through point (-5, 3) then the equation of the line is

y - y₁ = m(x - x₁)

(y - 3) = m(x - 5)

Since the line is horizontal m = 0

y - 3 = 0 × (x - 5)

y - 3 = 0

y = 3 is the required equation

Find the equation of the horizontal line passing through the point (-5, 3).

Summary:

The equation of the horizontal line passing through the point (-5, 3) is y = 3.